For the given quadratic equation we only have a maximum at y = 18.
How to find the extrema of the given function?
Here we have:
[tex]f(x) = -2x^2 - 4x + 16[/tex]
Notice that this is a quadratic equation of negative leading coefficient.
Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.
The vertex is at:
x = -(-4)/(2*(-2)) = -1
The maximum is:
[tex]f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18[/tex]
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
